Otherwise, let p now equal this number (which is the next prime), and repeat from step 3Īt the end when the algorithm terminates, all the numbers in the list that are not marked are the prime numbers. Find the first number greater than p in the list that is not marked.If the sum of a numbers digits is a multiple of 3, that number can be divided. note that some of them may have already been marked All other even numbers can be divided by 2. Starting from p, count up in increments of p and mark each of these numbers greater than p itself in the list.Initially, let p be equal 2, the first prime number.Create a list of consecutive integers from 2 to n: (2, 3, 4, …, n).Let's take a look at the steps of this algorithm: For example, 5 is a prime number because it. There's yet another efficient method which could help us to generate prime numbers efficiently, and it's called Sieve Of Eratosthenes. A prime number is a natural number greater than 1 that has no positive integer divisors other than 1 and itself.
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